344907 divided by 44 
We're looking to find how many times 44 goes into 344907.

On to step 1:
The number 44 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 44

On to step 2:
If we divide 34 by 44, we get 0 and a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Include the next digit (4) from the dividend after 34, then repeat: 344 / 44

Moving on to step 3:
44 can be fit into 344 7 times, resulting in a remainder of 36.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtracting 308 from 344 leaves us with 36.
Append the next digit (9) from the dividend to 36 and continue with: 369 / 44

On to step 4:
When dividing 369 by 44, we get 8 with a remainder of 17.
Put 8 as the next digit of the answer. 
Result so far: 78.0
Deduct 352 from 369 and we're left with 17.
Include the next digit (0) from the dividend after 17, then repeat: 170 / 44

Advancing to step 5:
44 goes into 170 3 times with a remainder of 38.
The next digit of our result is 3. 
Result so far: 783.0
Subtract 132 from 170 to get 38.
Append the next digit (7) from the dividend to 38 and continue with: 387 / 44

On to step 6:
When dividing 387 by 44, we get 8 with a remainder of 35.
The next digit of our result is 8. 
Result so far: 7838.0
If we subtract 352 from 387, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 7:
44 can be fit into 350 7 times, resulting in a remainder of 42.
The next digit of our result is 7. 
Result so far: 7838.7
Deduct 308 from 350 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 8:
The number 44 fits into 420 9 times, leaving a remainder of 24.
Use 9 as the next digit of our solution. 
Result so far: 7838.79
The remainder is 24 after subtracting 396 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 9:
When dividing 240 by 44, we get 5 with a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 7838.795
Subtract 220 from 240 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 10:
When dividing 200 by 44, we get 4 with a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 7838.7954
If we subtract 176 from 200, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 11:
When dividing 240 by 44, we get 5 with a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 7838.79545
The remainder is 20 after subtracting 220 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 12:
200 divided by 44 is 4 with a remainder of 24.
The next digit of our result is 4. 
Result so far: 7838.795454
If we subtract 176 from 200, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 13:
240 divided by 44 is 5 with a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 7838.7954545
The remainder is 20 after subtracting 220 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 14:
200 divided by 44 is 4 with a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 7838.79545454
Deduct 176 from 200 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The quotient of the division is 7838.79545454, and the remainder is 2.4e-08.